Math Problem Statement
Solution
To solve this question, let’s analyze the forces acting on the 5 kg body at rest on a rough horizontal surface:
Given Information:
- Mass of the body,
- Forces acting horizontally:
- 6 N to the left
- 8 N to the right
- 4 N to the left
- 2 N to the right
Solution:
-
Calculate the Net Horizontal Force:
- Total force to the right =
- Total force to the left =
- Since the forces to the left and right are equal, the net horizontal force is zero.
-
Determine the Frictional Force:
- Since the body is at rest and the net applied force is zero, there is no unbalanced force trying to move the body.
- Therefore, the frictional force acting on the body must also be zero to keep it stationary.
Answer:
The correct answer is:
- A. Zero
Would you like further explanation or details on this?
Related Questions:
- What would happen if the force to the right was greater than the force to the left?
- How would the frictional force change if the surface were smoother?
- What role does the mass of the body play in this scenario?
- How can we calculate the coefficient of friction in such problems?
- How would this scenario change if the body was accelerating?
Tip:
Remember that frictional force acts to counteract any motion. If there is no net force, friction will be zero on a stationary object.
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Math Problem Analysis
Mathematical Concepts
Forces
Equilibrium
Newton's First Law of Motion
Formulas
Net force = Sum of all forces acting in a direction
Theorems
Newton's First Law of Motion
Suitable Grade Level
Grades 9-10
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